The first-order reliability method of predicting cumulative mass flux in heterogeneous porous formations

Water Resources Research

Volumn 33, Issue 6, 1997, Pages 1485-1494

  Skaggs, Todd H ^a   Barry, D A ^b  

^a U S SALINITY LABORATORY   (United States)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

POROUS MEDIA; SOLUTE TRANSPORT; TRANSPORT PHENOMENA;

CUMULATIVE MASS FLUX; FIRST ORDER RELIABILITY METHOD; HETEROGENEITY; MASS FLUX; POROUS MEDIUM; SUBSURFACE TRANSPORT;

COMPUTATION THEORY; DISTRIBUTION FUNCTIONS; INTELLIGENT SYSTEMS; POROUS MATERIALS; RELIABILITY ANALYSIS; STOCHASTIC SYSTEMS; STRUCTURAL ANALYSIS;

ADJOINT SENSITIVITIES; COMPUTATIONAL BURDEN; CUMULATIVE DISTRIBUTION FUNCTION; FIRST ORDER RELIABILITY METHODS; HETEROGENEOUS SYSTEMS; RANDOM POROUS MEDIA; STOCHASTIC ANALYSIS; SUBSURFACE TRANSPORT;

MONTE CARLO METHODS;

EID: 0030619045     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR00660     Document Type: Article

References (32)

1. Ahlfeld, D. P., J. M. Mulvey, G. F. Pinder, and E. F. Wood, Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory, 1, Model development, Water Resour. Res., 24(3), 431-441, 1988.
2. Barry, D. A., and G. Sposito, Application of the convection-dispersion model to solute transport in finite soil columns, Soil Sci. Soc. Am. J., 52(1), 3-9, 1988.
3. Barry, D. A., J. Coves, and G. Sposito, On the Dagan model of solute transport in groundwater: Application to the Borden Site, Water Resour. Res., 24(10), 1805-1817, 1988.
4. Bear, J., Dynamics of Fluids in Porous Media, Elsevier, New York, 1972.
5. Cawlfield, J. D., and M.-C. Wu, Probabilistic sensitivity analysis for one-dimensional reactive transport in porous media, Water Resour. Res., 29(3), 661-672, 1993.
6. Christakos, G., Random Field Models in Earth Sciences, Academic, San Diego, Calif., 1992.
7. Cvetkovic, V., A. M. Shapiro, and G. Dagan, A solute flux approach to transport in heterogeneous formations, 2, Uncertainty analysis, Water Resour. Res., 28(5), 1377-1388, 1992.
8. Dagan, G., Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
9. Dagan, G., V. Cvetkovic, and A. Shapiro, A solute flux approach to transport in heterogeneous formations, 1, The general framework, Water Resour. Res., 28(5), 1369-1376, 1992.
10. Der Kiureghian, A., and P.-L. Liu, Structural reliability under incomplete probability information, J. Eng. Mech., 112(1), 85-104, 1986.
11. Der Kiureghian, A., H.-Z. Lin, and S.-J. Hwang, Second-order reliability approximations, J. Eng. Mech., 113(8), 1208-1225, 1987.
12. Gelhar, L. W., Stochastic Subsurface Hydrology, Prentice-Hall, Englewood Cliffs, N. J., 1993.
13. Hamed, M. M., J. P. Conte, and P. B. Bedient, Probabilistic screening tool for ground-water contamination assessment, J. Environ. Eng., N. Y., 121(11), 767-775, 1995.
14. Hamed, M. M., P. B. Bedient, and C. N. Dawson, Probabilistic modeling of aquifer heterogeneity using reliability methods, Adv. Water Resour., 19(5), 277-295, 1996a.
15. Hamed, M. M., P. B. Bedient, and J. P. Conte, Numerical stochastic analysis of groundwater contaminant transport and plume containment, J. Contam. Hydrol., 24(1), 24, 1996b.
16. Huyakorn, P. S., and G. F. Pinder, Computational Methods in Subsurface Flow, Academic, San Diego, Calif., 1983.
17. Jang, Y.-S., N. Sitar, and A. Der Kiureghian, Reliability analysis of contaminant transport in saturated porous media, Water Resour. Res., 30(8), 2435-2448, 1994.
18. Liu, P.-L., and A. Der Kiureghian, Optimization algorithms for structural reliability, Struct. Safety, 9, 161-177, 1991.
19. Madsen, H. O., S. Krenk, and N. C. Lind, Methods of Structural Safety, Prentice-Hall, Englewood Cliffs, N. J., 1986.
20. Melching, C. S., An improved first-order reliability approach for assessing uncertainties in hydrologic modeling, J. Hydrol., 132, 157-177, 1992.
21. Melching, C. S., B. C. Yen, and H. G. Wenzel Jr., A reliability estimation in modeling watershed runoff with uncertainties, Water Resour. Res., 26(10), 2275-2286, 1990.
22. Mok, C. M., N. Sitar, and A. Der Kiureghian, Numerically efficient reliability analysis of groundwater flow and subsurface contaminant transport, in Computer Methods and Advances in Geomechanics, Proceedings of the Eighth International Conference on Computer Methods and Advances in Geomechanics, vol. 2, edited by H. J. Siriwardane and M. M. Zaman, pp. 1153-1158, A. A. Balkema, Rotterdam, 1994.
23. Piggott, J. H., and J. D. Cawlfield, Probabilistic sensitivity analysis for one-dimensional contaminant transport in the vadose zone, J. Contam. Hydrol., 24(2), 97-115, 1996.
24. Pinder, G. F., and W. G. Gray, Finite Element Simulation in Surface and Subsurface Hydrology, Academic, San Diego, Calif., 1977.
25. Schanz, R. W., and A. Salhotra, Evaluation of the Rackwitz-Fiessler uncertainty analysis method for environmental fate and transport models, Water Resour. Res., 28(4), 1071-1079, 1992.
26. Shapiro, A. M., and V. D. Cvetkovic, Stochastic analysis of solute arrival time in heterogeneous porous media, Water Resour. Res., 24(10), 1711-1718, 1988.
27. Sitar, N., J. D. Cawlfield, and A. Der Kiureghian, First-order reliability approach to stochastic analysis of subsurface flow and contaminant transport, Water Resour. Res., 23(5), 794-804, 1987.
28. Skaggs, T. H., and D. A. Barry, Sensitivity and reliability analysis of groundwater contaminant transport, in Computational Techniques and Applications: CTAC95, edited by R. L. May and A. K. Easton, pp. 701-708, World Sci., Singapore, 1996a.
29. Skaggs, T. H., and D. A. Barry, Sensitivity methods for time-continuous, spatially discrete groundwater contaminant transport models, Water Resour. Res., 32(8), 2409-2420, 1996b.
30. Skaggs, T. H., and D. A. Barry, Assessing uncertainty in subsurface solute transport: Efficient first-order reliability methods, Environ. Software, in press, 1997.
31. Sudicky, E. A., The Laplace transform Galerkin technique: A time-continuous finite element theory and application to mass transport in groundwater, Water Resour. Res., 25(8), 1833-1846, 1989.
32. Wu, M. C., and J. D. Cawlfield, Probabilistic sensitivity and modelling of two-dimensional transport in porous media, Stochastic Hydrol. Hydraul., 6, 103-121, 1992.